Question

PROVE THAT:
(1/1+a+b^-1)+(1/1+b+c^-1)+(1/1+c+a^-1)=1 when abc=1​

Answer 1

Answer:

hiii

buddy here is the answer to the question

Step-by-step explanation:

abc=1

⟹c=1/ab

1/(1+a+1/b)+1/(1+b+1/c)+1/(1+c+1/a)

=1/(1+a+1/b)+1/(1+b+ab)+1/(1+1/ab+1/a)

=b/(1+b+ab)+1/(1+b+ab)+ab/(1+b+ab)

=1+b+ab/(1+b+ab)

=1

hope it will be a helpful to you

be happy and healthy ❤️

__________&__Follow me